Number & Arithmetic — practice questions, page 3
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How many positive integers less than 100 have exactly three positive divisors?Which of the following numbers is a perfect square?The square of any odd integer, when divided by 8, always leaves remainder:The sum of five consecutive integers is 2025. The largest of the five is:In how many ways can 45 be written as a sum of two or more consecutive positive integers?A two-digit number is four times the sum of its digits. Adding 18 to it reverses its digits. The…The difference between a two-digit number and the number obtained by reversing its digits is 45.…The numeral 341 written in base five stands for which number in base ten?In a certain base b, the statement 3 × 4 = 15 is correct. The value of b is:In the number 29635471, the difference between the place value and the face value of the digit 6 is:Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. Their LCM is:The HCF of the fractions 2/3, 8/9, 16/81 and 10/27 is:The LCM of the fractions 3/4, 6/7 and 9/8 is:How many positive integers less than 30 are co-prime to 30?How many of the numbers from 1 to 100 are divisible by neither 2 nor 5?If the expression √(6 + √(6 + √(6 + …))) continues forever, its value is:Which of these fractions is the smallest?The recurring decimal 2.353535… written as a fraction in lowest terms is:How many digits are there in the repeating block of the decimal expansion of 1/7?To prove that √2 is irrational we assume √2 = p/q, where p and q are integers with no common…Which of the following statements is TRUE?The value of 8^(2/3) × 32^(−2/5) ÷ 4^(−1/2) is:A vessel is 1/3 full of juice. After 30 more litres are poured in, it becomes 3/4 full. The…How many zeros does the product 5 × 10 × 15 × 20 × … × 50 end with?At 6 a.m. the temperature was −7 °C. It rose 3 °C every hour until 11 a.m., then fell 2 °C every…
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